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The internal path length of a binary tree is the sum, taken over all internal (see Exercise 6.2-11) vertices of the tree, of the depth of the vertex. The external path length of a binary tree is the sum, taken over all leaf vertices of the tree, of the depth of the vertex. Show that in a full binary tree with n internal vertices, internal path length i and external path length e, we have e = i + 2n.
Gather three of your favourite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the "Are You Sure It's Fat Free?"
Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.
If parabolic opening touches the ground right at the edges of the waterway and the maximum height of the opening is 60ft, what is the maximum height that a 20-foot wide boat could be and still pass through the opening?
Find the centroid of the region bounded by the given curves. Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape.
Use the method of least squares to obtain the straight line that best fits these data. Estimate the number of cars in use in 1997.
Which coders are concerns and why? List each one that you are concerned with and be specific on what part of the policy is in question. Which coder(s) do you need to create an education plan for
What percent is the 10cm length of 8cm length
Use an inverse matrix to determine the production level necessary to satisfy the final demand.
An object is moving with velocity (in ft/sec) v (t) = t2 - 9. Find the displacement and total distance travelled from t=0 to t=7.
The floor for the dancers is8.3 meters by 9.2 meters. The owners need to resurface that rectangle of the floor and need to know what the area is . How many square meters is this dance floor?
Find the area of the surface generated by revloving y= 2x3 about the x-axis for 0 ≤ x ≤ 2. Evalute an equivalent integral, in terms of y, to find the surface aera in part A.
Four positive numbers, each less than 80, are rounded to the first decimal place and then multiplied together. Use differentials to estimate the maximum possible error in the computed product that might result from the rounding.
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